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The full set of compressible hydrodynamic equations are solved in conservative forms.
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It is not, in general, possible to preserve these conservation laws simply by discretization in conservative form because there is frequently only one explicit conservation law.
The algorithm is based on a fully-coupled finite-volume framework for unstructured meshes with collocated variable arrangement, in which the governing conservation laws are discretised in conservative form and solved in a single linear system of equations for velocity, pressure and specific total enthalpy, with the density evaluated by an equation of state.
In this paper we develop numerical fluxes of the centred type for one-step schemes in conservative form for solving general systems of conservation laws in multiple-space dimensions on structured meshes.
A methodology preventing such errors for weighted essentially non-oscillatory (WENO) schemes is presented, in which modified WENO weights are used to solve the transport equation for mass fraction in conservative form to prevent temperature and species conservation errors.
This paper is about the construction of numerical fluxes of the centred type for one-step schemes in conservative form for solving general systems of conservation laws in multiple space dimensions on structured and unstructured meshes.
The surfactant dynamics are written in conservative form, thus global mass of surfactant is conserved exactly.
The discrete form of surfactant dynamics is derived in conservative form, and thus, global mass of surfactant is conserved exactly.
A main difficulty of numerical methods for multi-phase flows is that the model equations cannot always be written in conservative form, though they may be hyperbolic and derived from physical conservation principles.
This paper describes a new hybrid adaptive ENO scheme for partial differential equation in conservative form.
In our model, five options are provided to solve the advection-dispersion transport equation: finite element method in conservative form, finite element method in advective form.
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